Endpoint values of the banana rank second difference #
This file completes Corollary 2.25(1): on the two multivalent endpoints, the
rank second difference of the a-fold endpoint pencil is one through genus
and zero afterwards.
theorem
Bananas.rankDelta_endpointPencil_nsmul
{g : ℕ}
(B : Banana g)
(a : ℕ)
:
rankDelta (mark (Utilities.Certificate.SubdivisionGraph.Spec.graph B) (leftEndpoint B) (rightEndpoint B))
(a • endpointPencilDivisor B) = if a ≤ g then 1 else 0
Paper Corollary 2.25(1) (cor-BananaDeltaComps).